If $\sim p \to q$ is false and $q \leftrightarrow r$ is false, then the truth value of $(p, q, r)$ is...

Let $\Delta, \nabla \in \{\wedge, \vee\}$ be such that $( p \rightarrow q ) \Delta ( p \nabla q )$ is a tautology. Then

Let $p, q, r$ denote arbitrary statements. Then the logical equivalent of the statement $p \Rightarrow (q \vee r)$ is

Which of the following statements is logically equivalent to $\sim (p \leftrightarrow q)$?

Write the following statement in the form of "if-then":
To get an $A^{+}$ in the class,it is necessary that you do all the exercises of the book.

Using the words "necessary and sufficient",rewrite the statement "The integer $n$ is odd if and only if $n^{2}$ is odd". Also,check whether the statement is true.